Pub Date : 2013-10-01DOI: 10.1109/ICOSC.2013.6750930
Samir Sahyoun, S. Djouadi
This paper presents a new method to make the Proper Orthogonal Decomposition (POD) more accurate for reducing the order of nonlinear systems. POD fails to capture the nonlinear degrees of freedom in highly nonlinear systems because it assumes that data belongs to a linear space. In this paper, the solution space is grouped into clusters where the behavior has significantly different features. Although the clustering idea is not new, it has been implemented only on snapshots clustering where a snapshot is the solution over the whole space at a particular time. In this paper, we show that clustering the space domain into the same number of clusters is more efficient. We call it space vectors clustering where a space vector is the solution over all times at a particular space location. This result is consistent with the fact that for infinite dimensional systems described by partial differential equations, the huge number of states comes from the discretization of the space domain of the PDE, not the time domain.
{"title":"Local Proper Orthogonal Decomposition based on space vectors clustering","authors":"Samir Sahyoun, S. Djouadi","doi":"10.1109/ICOSC.2013.6750930","DOIUrl":"https://doi.org/10.1109/ICOSC.2013.6750930","url":null,"abstract":"This paper presents a new method to make the Proper Orthogonal Decomposition (POD) more accurate for reducing the order of nonlinear systems. POD fails to capture the nonlinear degrees of freedom in highly nonlinear systems because it assumes that data belongs to a linear space. In this paper, the solution space is grouped into clusters where the behavior has significantly different features. Although the clustering idea is not new, it has been implemented only on snapshots clustering where a snapshot is the solution over the whole space at a particular time. In this paper, we show that clustering the space domain into the same number of clusters is more efficient. We call it space vectors clustering where a space vector is the solution over all times at a particular space location. This result is consistent with the fact that for infinite dimensional systems described by partial differential equations, the huge number of states comes from the discretization of the space domain of the PDE, not the time domain.","PeriodicalId":199135,"journal":{"name":"3rd International Conference on Systems and Control","volume":"95 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133492139","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2013-10-01DOI: 10.1109/ICOSC.2013.6750914
C. El-Kasri, A. Hmamed
This paper is concerned with the problem of designing H∞ filters of reduced order for two dimensional (2-D) continuous systems with delay dependent described by the Roesser models, with uncertain state space matrices. These reduced-order filters are characterized in terms of linear matrix inequalities (LMI), to minimize a bound on the H∞ noise attenuation. The methodology is also particularized for full order and zero order (static) filters, where more simple LMI conditions are derived. the numerical example are presented to illustrate the effectiveness of the proposed methodology.
{"title":"Robust reduced-order H∞ filter design for uncertain 2-D continuous systems with time-varying delays","authors":"C. El-Kasri, A. Hmamed","doi":"10.1109/ICOSC.2013.6750914","DOIUrl":"https://doi.org/10.1109/ICOSC.2013.6750914","url":null,"abstract":"This paper is concerned with the problem of designing H∞ filters of reduced order for two dimensional (2-D) continuous systems with delay dependent described by the Roesser models, with uncertain state space matrices. These reduced-order filters are characterized in terms of linear matrix inequalities (LMI), to minimize a bound on the H∞ noise attenuation. The methodology is also particularized for full order and zero order (static) filters, where more simple LMI conditions are derived. the numerical example are presented to illustrate the effectiveness of the proposed methodology.","PeriodicalId":199135,"journal":{"name":"3rd International Conference on Systems and Control","volume":"25 2","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132737473","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2013-10-01DOI: 10.1109/ICOSC.2013.6750960
N. Aouani, S. Salhi, G. García, M. Ksouri
This paper addresses the static output feedback (SOF) control design problem of Linear Parameter Varying (LPV) affine systems. We aim all along the work to establish robust stability and stabilizability conditions, formulated in terms of Linear Matrix Inequalities (LMIs). The conditions are parameterized by a real α that allows to bring to feasibility some unfeasible problems. Also the separation between the Lyapunov matrix and the state matrix are done by use of some useful lemmas. This reduces the conservatism engendered and achieves the relaxation of the problem by the addition of slack variables. We prove by numerical examples the contribution of the newly proposed approach for both the analysis and the synthesis of the LPV system.
{"title":"Static output feedback control for LPV systems under affine uncertainty structure","authors":"N. Aouani, S. Salhi, G. García, M. Ksouri","doi":"10.1109/ICOSC.2013.6750960","DOIUrl":"https://doi.org/10.1109/ICOSC.2013.6750960","url":null,"abstract":"This paper addresses the static output feedback (SOF) control design problem of Linear Parameter Varying (LPV) affine systems. We aim all along the work to establish robust stability and stabilizability conditions, formulated in terms of Linear Matrix Inequalities (LMIs). The conditions are parameterized by a real α that allows to bring to feasibility some unfeasible problems. Also the separation between the Lyapunov matrix and the state matrix are done by use of some useful lemmas. This reduces the conservatism engendered and achieves the relaxation of the problem by the addition of slack variables. We prove by numerical examples the contribution of the newly proposed approach for both the analysis and the synthesis of the LPV system.","PeriodicalId":199135,"journal":{"name":"3rd International Conference on Systems and Control","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133828275","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2013-10-01DOI: 10.1109/ICOSC.2013.6750869
Ghania Idiri, S. Djennoune, M. Bettayeb
This paper deals with optimal control of fractional order systems using control vector parameterization. The main idea consists in transforming the optimal control problem to a nonlinear optimization problem where the optimization variables are the parameters of the optimal control law to be determined. Thus, by parameterizing the control variable by unknown parameters and by substituting its expression in the diffusive representation of the fractional system, a set of ordinary differential equations is obtained. These equations are solved by the variational iteration method to get an approximate analytical expression of the optimal trajectories as a function of time and the unknown parameters of the optimal control law. Then, by substituting the expression of the control law and the optimal trajectories into the performance index, a non linear optimization problem is obtained where the control law parameters are the optimization variables. The solution of the obtained optimization problem using a global optimization method gives the optimal values of the control parameters, that is, the optimal control law. The proposed approach is illustrated by an application example.
{"title":"Optimal control of fractional systems based on the diffusive representation","authors":"Ghania Idiri, S. Djennoune, M. Bettayeb","doi":"10.1109/ICOSC.2013.6750869","DOIUrl":"https://doi.org/10.1109/ICOSC.2013.6750869","url":null,"abstract":"This paper deals with optimal control of fractional order systems using control vector parameterization. The main idea consists in transforming the optimal control problem to a nonlinear optimization problem where the optimization variables are the parameters of the optimal control law to be determined. Thus, by parameterizing the control variable by unknown parameters and by substituting its expression in the diffusive representation of the fractional system, a set of ordinary differential equations is obtained. These equations are solved by the variational iteration method to get an approximate analytical expression of the optimal trajectories as a function of time and the unknown parameters of the optimal control law. Then, by substituting the expression of the control law and the optimal trajectories into the performance index, a non linear optimization problem is obtained where the control law parameters are the optimization variables. The solution of the obtained optimization problem using a global optimization method gives the optimal values of the control parameters, that is, the optimal control law. The proposed approach is illustrated by an application example.","PeriodicalId":199135,"journal":{"name":"3rd International Conference on Systems and Control","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115583537","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2013-10-01DOI: 10.1109/ICOSC.2013.6750972
Zeineb Zarrouk, A. Chemori, P. Poignet
Performing a beating heart surgery presents a real challenge to surgeons because of physiological motions. In this paper, a robotized solution for motion compensation based on a force feedback control architecture with two control loops is proposed. The inner loop consists in a nonlinear state feedback and the outer loop consists in a PID controller. The proposed control architecture uses the measurements of the contact efforts applied by the surgical tool on its environment to ensure force feedback. No a priori information about motion characteristics is necessary. The effectiveness of the global architecture is tested in simulation and experimentally on the D2M2 robot. The obtained results show the ability of the robot to compensate 1D motions.
{"title":"Force feedback control for compensation of physiological motions in beating heart surgery with real-time experiments","authors":"Zeineb Zarrouk, A. Chemori, P. Poignet","doi":"10.1109/ICOSC.2013.6750972","DOIUrl":"https://doi.org/10.1109/ICOSC.2013.6750972","url":null,"abstract":"Performing a beating heart surgery presents a real challenge to surgeons because of physiological motions. In this paper, a robotized solution for motion compensation based on a force feedback control architecture with two control loops is proposed. The inner loop consists in a nonlinear state feedback and the outer loop consists in a PID controller. The proposed control architecture uses the measurements of the contact efforts applied by the surgical tool on its environment to ensure force feedback. No a priori information about motion characteristics is necessary. The effectiveness of the global architecture is tested in simulation and experimentally on the D2M2 robot. The obtained results show the ability of the robot to compensate 1D motions.","PeriodicalId":199135,"journal":{"name":"3rd International Conference on Systems and Control","volume":"10 3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115936811","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2013-10-01DOI: 10.1109/ICOSC.2013.6750943
Z. Ghemari, S. Saad
In the present paper, piezoresistive accelerometer performance is improved by the development of a suitable mathematical model. The simulation of the developed model allows selecting the best value of damping rate to minimize the measurement error to 1%. This model is validated by a series of tests carried out by computer simulation. The obtained results have showed that a suitable dumping rate can minimize measurement error of relative movement to 1 %. Using the present model, the dumping rate and precision error of the accelerometer can be improved.
{"title":"Improvement of piezoresistive accelerometer performance","authors":"Z. Ghemari, S. Saad","doi":"10.1109/ICOSC.2013.6750943","DOIUrl":"https://doi.org/10.1109/ICOSC.2013.6750943","url":null,"abstract":"In the present paper, piezoresistive accelerometer performance is improved by the development of a suitable mathematical model. The simulation of the developed model allows selecting the best value of damping rate to minimize the measurement error to 1%. This model is validated by a series of tests carried out by computer simulation. The obtained results have showed that a suitable dumping rate can minimize measurement error of relative movement to 1 %. Using the present model, the dumping rate and precision error of the accelerometer can be improved.","PeriodicalId":199135,"journal":{"name":"3rd International Conference on Systems and Control","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124370817","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2013-10-01DOI: 10.1109/ICOSC.2013.6750950
Y. Amrane, M. Boudour, M. Belazzoug
An effective allocation of the reactive power in an electrical network aims generally to improve the voltages profile and control transmission losses. This paper proposes an application of the Particle Swarm Optimization method (PSO) to Reactive Power Planning (RPP) using Static Var Compensator (SVC) and Thyristor Controlled Series Compensator (TCSC). The Fast Voltage Stability Index (FVSI) is used to identify the critical lines and buses to install the FACTS controllers. The methodology has been tested in the Algerian electrical power systems 114 bus, and the simulation results show the effectiveness of the proposed approach for improving the reactive power planning problem.
{"title":"Optimal Reactive Power Planning based on Particle Swarm applied to the Algerian electrical power system","authors":"Y. Amrane, M. Boudour, M. Belazzoug","doi":"10.1109/ICOSC.2013.6750950","DOIUrl":"https://doi.org/10.1109/ICOSC.2013.6750950","url":null,"abstract":"An effective allocation of the reactive power in an electrical network aims generally to improve the voltages profile and control transmission losses. This paper proposes an application of the Particle Swarm Optimization method (PSO) to Reactive Power Planning (RPP) using Static Var Compensator (SVC) and Thyristor Controlled Series Compensator (TCSC). The Fast Voltage Stability Index (FVSI) is used to identify the critical lines and buses to install the FACTS controllers. The methodology has been tested in the Algerian electrical power systems 114 bus, and the simulation results show the effectiveness of the proposed approach for improving the reactive power planning problem.","PeriodicalId":199135,"journal":{"name":"3rd International Conference on Systems and Control","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123680469","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2013-10-01DOI: 10.1109/ICOSC.2013.6750875
Y. Chabane, A. Hellal
This paper deals with the application of an adaptive Implicitly Restarted Arnoldi Algorithm based on Krylov subspaces to the small signal stability eigen analysis problem for power systems.. The aim of our modified algorithm is to find directly to the sought critical eigenvalues concerned with poor damping ratios instead of calculating the whole of the spectrum.
{"title":"Critical eigenvalues tracing for small signal stability analysis using Krylov subspaces","authors":"Y. Chabane, A. Hellal","doi":"10.1109/ICOSC.2013.6750875","DOIUrl":"https://doi.org/10.1109/ICOSC.2013.6750875","url":null,"abstract":"This paper deals with the application of an adaptive Implicitly Restarted Arnoldi Algorithm based on Krylov subspaces to the small signal stability eigen analysis problem for power systems.. The aim of our modified algorithm is to find directly to the sought critical eigenvalues concerned with poor damping ratios instead of calculating the whole of the spectrum.","PeriodicalId":199135,"journal":{"name":"3rd International Conference on Systems and Control","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123717244","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2013-10-01DOI: 10.1109/ICOSC.2013.6750957
M. Ghadjati, Abdelkrim Moussaoui, A. Bouchemel
Transmitting digital signals through frequency selective communication channel, several problems arise, such as additive noise and ISI (Inter-Symbol Interference). To compensate distortions caused by these factors and to find the original information being transmitted, equalization process is performed at the receiver. Previous authors have shown that nonlinear feed-forward equalizers based on either MLP (Multi Layer Perceptron) or RBF (Radial Basis Function) can outperform linear equalizers. In this paper, we suggest an adaptive neural network equalizer using Levenberg-Marquardt training algorithm, (MLP-LM), which considerably reduces the learning MSE (Mean Square Error) and eliminates efficiently the effects of ISI comparatively to the MLP-BP, RBF and conventional equalizers.
{"title":"Communication channel equalization based on Levenberg-Marquardt trained artificial neural networks","authors":"M. Ghadjati, Abdelkrim Moussaoui, A. Bouchemel","doi":"10.1109/ICOSC.2013.6750957","DOIUrl":"https://doi.org/10.1109/ICOSC.2013.6750957","url":null,"abstract":"Transmitting digital signals through frequency selective communication channel, several problems arise, such as additive noise and ISI (Inter-Symbol Interference). To compensate distortions caused by these factors and to find the original information being transmitted, equalization process is performed at the receiver. Previous authors have shown that nonlinear feed-forward equalizers based on either MLP (Multi Layer Perceptron) or RBF (Radial Basis Function) can outperform linear equalizers. In this paper, we suggest an adaptive neural network equalizer using Levenberg-Marquardt training algorithm, (MLP-LM), which considerably reduces the learning MSE (Mean Square Error) and eliminates efficiently the effects of ISI comparatively to the MLP-BP, RBF and conventional equalizers.","PeriodicalId":199135,"journal":{"name":"3rd International Conference on Systems and Control","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122091530","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2013-10-01DOI: 10.1109/ICOSC.2013.6750883
Naima Ait Oufroukh, S. Mammar
This paper considers the integrated control of a three highly cooperative vehicles which follow a leader. The leading vehicle can be driven manually and his longitudinal acceleration is not accessible for the followers. Otherwise each vehicle of the string uses front and rear information to achieve speed and reference distance tracking. Thanks to the use of the invariant-set-based theory, the control approach allows that the state trajectories of all the vehicles remain bounded under bounded disturbance inputs, such as leading vehicle acceleration. Handling of variable headway time is made possible through an LPV modelling. Simulation results show an efficient behaviour under various maneuvers.
{"title":"Invariant-set-based automated vehicles string longitudinal control","authors":"Naima Ait Oufroukh, S. Mammar","doi":"10.1109/ICOSC.2013.6750883","DOIUrl":"https://doi.org/10.1109/ICOSC.2013.6750883","url":null,"abstract":"This paper considers the integrated control of a three highly cooperative vehicles which follow a leader. The leading vehicle can be driven manually and his longitudinal acceleration is not accessible for the followers. Otherwise each vehicle of the string uses front and rear information to achieve speed and reference distance tracking. Thanks to the use of the invariant-set-based theory, the control approach allows that the state trajectories of all the vehicles remain bounded under bounded disturbance inputs, such as leading vehicle acceleration. Handling of variable headway time is made possible through an LPV modelling. Simulation results show an efficient behaviour under various maneuvers.","PeriodicalId":199135,"journal":{"name":"3rd International Conference on Systems and Control","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128695690","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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